Two of the most expensive cars in the world are car a and car b. the prices of these two cars differ by more than $15,000. the price of car a is $131,745. a. assuming that you do not know which model is more expensive, write an absolute value in equality that describes this situation. use x for the cost of car b. b. what are the possibilities for the price of car b?

Part a)

Part b) The possibilities for the price of car B are more of $146,745 or less than $116,745

Step-by-step explanation:

Part a) write an absolute value in equality that describes this situation. Use x for the cost of car B

Let

x -----> the cost of car B

we know that

The difference between the price of car B and car A in absolute value or the difference between the price of car A and car B in absolute value must be equal to 15,000

so

The absolute value in equality will be

Part b) What are the possibilities for the price of car B?

Solve the absolute value

we know that

The absolute value have two solutions

First case (positive)

Adds 131,745 both sides

Second case (negative)

Multiply by -1 both sides

Adds 131,745 both sides

Remember that

The prices of these two cars differ by more than $15,000

therefore

The possibilities for the price of car B are more of $146,745 or less than $116,745

360 different combinations

72 is the answer to this problem